Wentworth Medical Center As a business analyst with the Wentworth Medical Center

Question

Wentworth Medical Center As a business analyst with the Wentworth Medical Center, you are responsible for finding new business opportunities inside the United States that address public health issues. As the baby boomers age, a significant area of concern for health professionals will be the prevalence of geriatric depression. To learn more about depression among the elderly, Wentworth commissioned a study that you will now interpret. As part of a long-term study of individuals 65 years of age or older, sociologists and physicians at the Wentworth Medical Center in upstate New York investigated the relationship between geographic location and depression. A sample of 60 individuals, all in reasonably good health, was selected; 20 individuals were residents of Florida, 20 were residents of New York, and 20 were residents of North Carolina. Each of the individuals sampled was given a standardized test to measure depression. The data collected follow; higher test scores indicate higher levels of depression A second part of the study considered the relationship between geographic location and depression for individuals 65 years of age or older who had a chronic health condition such as arthritis, hypertension, and/or heart ailment. A sample of 60 individuals with such conditions was identified. Again, 20 were residents of Florida, 20 were residents of New York, and 20 were residents of North Carolina. The levels of depression recorded for this study follow For the first part of the study, the analysis produced the following analysis of variance (ANOVA) table: FIGURE 13.1 ANOVA TABLE FOR THE "GOOD HEALTH" ANALYSIS Source of Variation Degrees of Freedom Sum of Squares Treatments (State) Error Total F-ratio 61.03 331.90 392.93 Mean Square 30.52 5.82 p-value 0.008 5.24 57 59 Level (State) Florida New York North Carolina 20 20 20 Mean 5.550 8.000 7.050 Standard Deviation 2.139 2.200 2.837 A rough sketch of the distributions for the "Good Health" analysis is as follows

Explanation / Answer

Solution:-

The p-value of 0.008 supports the conclusion that the mean depression scores are significantly different for the three states, and therefore H0 is rejected. The observed differences appear to be due to a large difference between the means of Florida and New york.

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